A measure-theoretic characterization of the Henstock-Kurzweil integral revisited

Tuo-Yeong Lee

Czechoslovak Mathematical Journal (2008)

  • Volume: 58, Issue: 4, page 1221-1231
  • ISSN: 0011-4642

Abstract

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In this paper we show that the measure generated by the indefinite Henstock-Kurzweil integral is F σ δ regular. As a result, we give a shorter proof of the measure-theoretic characterization of the Henstock-Kurzweil integral.

How to cite

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Lee, Tuo-Yeong. "A measure-theoretic characterization of the Henstock-Kurzweil integral revisited." Czechoslovak Mathematical Journal 58.4 (2008): 1221-1231. <http://eudml.org/doc/37898>.

@article{Lee2008,
abstract = {In this paper we show that the measure generated by the indefinite Henstock-Kurzweil integral is $F_\{\sigma \delta \}$ regular. As a result, we give a shorter proof of the measure-theoretic characterization of the Henstock-Kurzweil integral.},
author = {Lee, Tuo-Yeong},
journal = {Czechoslovak Mathematical Journal},
keywords = {Henstock variational measure; Henstock-Kurzweil integral; Henstock variational measure; Henstock-Kurzweil integral},
language = {eng},
number = {4},
pages = {1221-1231},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A measure-theoretic characterization of the Henstock-Kurzweil integral revisited},
url = {http://eudml.org/doc/37898},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Lee, Tuo-Yeong
TI - A measure-theoretic characterization of the Henstock-Kurzweil integral revisited
JO - Czechoslovak Mathematical Journal
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 4
SP - 1221
EP - 1231
AB - In this paper we show that the measure generated by the indefinite Henstock-Kurzweil integral is $F_{\sigma \delta }$ regular. As a result, we give a shorter proof of the measure-theoretic characterization of the Henstock-Kurzweil integral.
LA - eng
KW - Henstock variational measure; Henstock-Kurzweil integral; Henstock variational measure; Henstock-Kurzweil integral
UR - http://eudml.org/doc/37898
ER -

References

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  9. Tuo-Yeong, Lee, 10.1216/rmjm/1181069626, Rocky Mountain J. Math 35 (2005), 1981-1997. (2005) MR2210644DOI10.1216/rmjm/1181069626
  10. Tuo-Yeong, Lee, 10.1007/s10587-005-0050-9, Czech. Math. J. 55 (2005), 625-637. (2005) MR2153087DOI10.1007/s10587-005-0050-9
  11. Tuo-Yeong, Lee, 10.1016/j.jmaa.2005.10.045, J. Math. Anal. Appl. 323 (2006), 741-745. (2006) MR2262241DOI10.1016/j.jmaa.2005.10.045
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